Question

Baker high band program will receive $2000.00 for selling $12,000.00 worth of coupon books. Six band classes participate in the sale drive. Classes 1-5 collect the following amounts of money $2,4000,$2800,$1500,$2320. Write an inequality which describes the amount of money the sixth class must collect so that the band will receive $2000.

Answer 1

Class 6 must collect at least $430 so that the band will receive $2,000.

Explanation:

Step 1:

The band will receive $2,000 for selling $12,000 worth of coupon books.

6 band classes collect money by the sales drive. We need to determine the money that they need to collect so that the band will receive $2,000.

If they want the band to receive $2,000 they must sell coupon books worth $12,000.

Step 2:

Class 1 collects $2,400.

Class 2 collects $2,800.

Class 3 collects $1,500.

Class 4 collects $2,320.

Class 5 collects $2,550.

Assume class 6 collects $x.

The inequality will be:
`2,400+2,800+1,500+2,320+2,550+x \geq 12,000.`

`x\geq 12,000 - 11,570 = 430.`

So class 6 must collect at least $430 so that the band will receive $2,000.

P.S. Class 1 should have collected $2,400 not $24,000 or else class A would have raised $4,000 by itself.